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Variable Structure Control with Generalized Relays: A Simple Convex Optimization Approach
- Source :
- IEEE Transactions on Automatic Control, IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2015, 60 (2), pp.497-502. ⟨10.1109/TAC.2014.2331417⟩, IEEE Transactions on Automatic Control, 2015, 60 (2), pp.497-502. ⟨10.1109/TAC.2014.2331417⟩
- Publication Year :
- 2015
- Publisher :
- HAL CCSD, 2015.
-
Abstract
- International audience; The article proposes a convex optimization approach for the design of relay feedback controllers. The case of linear systems is studied in the presence of matched perturbations. The system input is a generalized relay that may take values in a finite set of constant vectors. A simple design method is proposed using Linear Matrix Inequalities (LMIs). Furthermore, the approach is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid of the order of the sampling interval. Time-varying uncertainties (in the state matrix and the sampling interval) can be easily included in the analysis.
- Subjects :
- Ellipsoid method
Linear system
Linear matrix inequality
Proper convex function
Subderivative
Computer Science Applications
[SPI.AUTO]Engineering Sciences [physics]/Automatic
Control and Systems Engineering
Control theory
Convex optimization
Convex combination
Electrical and Electronic Engineering
Convex function
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00189286
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Automatic Control, IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2015, 60 (2), pp.497-502. ⟨10.1109/TAC.2014.2331417⟩, IEEE Transactions on Automatic Control, 2015, 60 (2), pp.497-502. ⟨10.1109/TAC.2014.2331417⟩
- Accession number :
- edsair.doi.dedup.....b2975b57a98091ada09f6d4876ffa510
- Full Text :
- https://doi.org/10.1109/TAC.2014.2331417⟩